What are the intercepts of #-x-4y=11#?

Answer 1

The x-intercept is #(-11,0)#.

The y-intercept is #(0,-11/4)# or #(0,-2.75)#.

Given:

#-x-4y=11#
Multiply by #-1#. This will reverse the signs.
#x+4y=-11#
The x-intercept is the value of #x# when #y=0#.
Substitute #0# for #y#.
#x+4(0)=-11#
#x=-11#
The x-intercept is #(-11,0)#.
The y-intercept is the value of #y# when #x=0#.
Substitute #0# for #x#.
#0+4y=-11#
#4y=-11#
Divide both sides by #4#.
#y=-11/4=-2.75#
The y-intercept is #(0,-11/4)# or #(0,-2.75)#.

graph{(-x-4y-11)(x+4y+11)=0 [-10, 10, -5, 5]}

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the intercepts of -x - 4y = 11, set one variable to zero and solve for the other variable. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. For the x-intercept: -x - 4(0) = 11 -x = 11 x = -11 For the y-intercept: -(0) - 4y = 11 -4y = 11 y = -11/4 So, the x-intercept is (-11, 0) and the y-intercept is (0, -11/4).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To find the intercepts of the equation -x - 4y = 11, we can set one of the variables to zero and solve for the other variable.

  1. To find the x-intercept, we set y to zero and solve for x: -x - 4(0) = 11 -x = 11 x = -11

  2. To find the y-intercept, we set x to zero and solve for y: -(0) - 4y = 11 -4y = 11 y = -11/4

So, the x-intercept is -11 and the y-intercept is -11/4.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7